c) (3 points) Based on the P-value you stated above in part B and a significance level of a = .05, state your conclusion
Posted: Wed May 11, 2022 12:25 pm
c) (3 points) Based on the P-value you stated above in part B and a significance level of a = .05, state your conclusion in the context of this problem and based off your stated pair of hypothesis from part A. d) (2 points) What is the possible error? A) Type I error B) Type Il error
120 X- 80 tegency O 2682-20-25-12-04 03 04 OG 12 16 20 24 28 32 36 Diterence 2. (15 points) A researcher collected some data to address the question of whether caffeine consumption increases that the rate at which college students are able to tap their fingers. Using a double-blind design, twenty students were randomly assigned to two different treatment groups. One group of 10 students drank caffeinated coffee (Group 1), whereas the other group of 10 students drank decaffeinated coffee (Group 2). After waiting 2 hours, each student was tested to determine his or her finger tapping rate (taps per minute). The difference between the original two sample means was calculated, and the following randomization distribution of 1000 simulated Xı – X2 statistics was generated. Answer the following questions: a) (5 points) Symbolize the null and alternative hypotheses that are consistent with the research question. a) Null: u1> M2, Alternative: u1= 42 b) Null: ul=u2, Alternative: u1> 2 c) Null: u1 Does not Equal u2, Alternative: ul= u2 d) Null: u1= u2, Alternative: u1 Does not Equal u2 b) (5 points) Based on the randomization distribution obtained above, which of the following is closest to the P-value corresponding to a difference of sample mean tap rates X1 – x2 of 1.7 and also appropriate to your pair of hypothesis in part A? i) 0.45 ii) 0.02 iii) 0.60 iv) 0.12
120 X- 80 tegency O 2682-20-25-12-04 03 04 OG 12 16 20 24 28 32 36 Diterence 2. (15 points) A researcher collected some data to address the question of whether caffeine consumption increases that the rate at which college students are able to tap their fingers. Using a double-blind design, twenty students were randomly assigned to two different treatment groups. One group of 10 students drank caffeinated coffee (Group 1), whereas the other group of 10 students drank decaffeinated coffee (Group 2). After waiting 2 hours, each student was tested to determine his or her finger tapping rate (taps per minute). The difference between the original two sample means was calculated, and the following randomization distribution of 1000 simulated Xı – X2 statistics was generated. Answer the following questions: a) (5 points) Symbolize the null and alternative hypotheses that are consistent with the research question. a) Null: u1> M2, Alternative: u1= 42 b) Null: ul=u2, Alternative: u1> 2 c) Null: u1 Does not Equal u2, Alternative: ul= u2 d) Null: u1= u2, Alternative: u1 Does not Equal u2 b) (5 points) Based on the randomization distribution obtained above, which of the following is closest to the P-value corresponding to a difference of sample mean tap rates X1 – x2 of 1.7 and also appropriate to your pair of hypothesis in part A? i) 0.45 ii) 0.02 iii) 0.60 iv) 0.12